University of Illinois Urbana-Champaign

Combinatorics of a family of stochastic differential equations with an eye towards topological temperature

Bonnell, Christopher

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https://hdl.handle.net/2142/44384

Description

Title
Combinatorics of a family of stochastic differential equations with an eye towards topological temperature
Author(s)
Bonnell, Christopher
Issue Date
2013-05-24T22:09:50Z
Director of Research (if dissertation) or Advisor (if thesis)
DeVille, Robert E.
Doctoral Committee Chair(s)
Sowers, Richard B.
Committee Member(s)
  • DeVille, Robert E.
  • Bronski, Jared C.
  • Rapti, Zoi
Department of Study
Mathematics
Discipline
Mathematics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
  • stochastic differential equation (SDE)
  • combinatorics
  • formal language
  • applied mathematics
  • SISR
  • asymptotics
  • scale-separated stochastic differential equation
Abstract
Using the SISR asymptotic, a classification of a class of scale-separated stochastic differential equations is achieved using combinatorics and formal language theory. This is extended to a topological notion of temperature and qualitative results regarding the relatedness of scale separated stochastic dynamical systems by changes in temperature.
Graduation Semester
2013-05
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http://hdl.handle.net/2142/44384
Copyright and License Information
Copyright 2013 Christopher Bonnell

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